The cross-section of a 22-ft high gravity dam is shown and is subject to water pressure standing 15 ft above the base. The crest width and base width are 2 ft and 10 ft, respectively. Considering uplift pressure which varies uniformly from full hydrostatic at the heel to zero at the toe, determine the following: (a) Total hydrostatic force F (Ib) at the back of the dam (b) Total weight W (Ib) of the dam if the unit weight of concrete is 150 lb/ft³ (c) The overturning moment, OM (ft-lb) (d) The righting moment, RM (ft-Ib) (e) The location of the resultant pressure at the base, X (ft) (f) The maximum stress at the base, ơmax, (psi) (g) The maximum stress at the base, ơmin, (psi) (h) The factor of safety against overturning, FSo. If the requirement for FSo should not be less than 2.0, is the dam safe? (i) What should be the minimum coefficient of friction if the factor of safety against sliding is 1.2? dam
The cross-section of a 22-ft high gravity dam is shown and is subject to water pressure standing 15 ft above the base. The crest width and base width are 2 ft and 10 ft, respectively. Considering uplift pressure which varies uniformly from full hydrostatic at the heel to zero at the toe, determine the following: (a) Total hydrostatic force F (Ib) at the back of the dam (b) Total weight W (Ib) of the dam if the unit weight of concrete is 150 lb/ft³ (c) The overturning moment, OM (ft-lb) (d) The righting moment, RM (ft-Ib) (e) The location of the resultant pressure at the base, X (ft) (f) The maximum stress at the base, ơmax, (psi) (g) The maximum stress at the base, ơmin, (psi) (h) The factor of safety against overturning, FSo. If the requirement for FSo should not be less than 2.0, is the dam safe? (i) What should be the minimum coefficient of friction if the factor of safety against sliding is 1.2? dam
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:The cross-section of a 22-ft high gravity dam is shown and is subject to water pressure standing 15 ft above the
base. The crest width and base width are 2 ft and 10 ft, respectively. Considering uplift pressure which varies
uniformly from full hydrostatic at the heel to zero at the toe, determine the following:
(a) Total hydrostatic force F (Ib) at the back of the dam
(b) Total weight W (Ib) of the dam if the unit weight of concrete is 150 lb/ft3
(c) The overturning moment, OM (ft-lb)
(d) The righting moment, RM (ft-lb)
(e) The location of the resultant pressure at the base, X (ft)
(f) The maximum stress at the base, Omax, (psi)
(g) The maximum stress at the base, ơmin, (psi)
(h) The factor of safety against overturning, FSo. If the requirement for FSo should not be less than 2.0, is the
dam safe?
(i) What should be the minimum coefficient of friction if the factor of safety against sliding is 1.2?
dam
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